Hey there! I'm happy to help!
First, let's find the area of the total trapezoid. To do this, you add the top and bottom side, divide it by two, and then multiply by the height.
We add up the values that make up the top side so we can find find its length.
6.1+8.1+9.5=23.7
The bottom side is 8.1
We add the top and bottom sides.
23.7+8.1=31.8
We divide by 2.
31.8/2=15.9
We multiply by the height, which we can see is 6.2
15.9×6.2=98.58
Now, we find the area of the rectangle that isn't shaded.
6.2×8.1=50.22
We subtract this from the total area of the trapezoid to find the total area of the two shaded triangles.
98.58-50.22=48.36
Therefore, the shaded regions have a total area of 48.36 cm².
Have a wonderful day! :D